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 A143724 Triangle read by rows, inverse Möbius transform of a diagonalized matrix of A116477. 1
 1, 1, 2, 1, 0, 4, 1, 2, 0, 5, 1, 0, 0, 0, 9, 1, 2, 4, 0, 0, 7, 1, 0, 0, 0, 0, 0, 15, 1, 2, 0, 5, 0, 0, 0, 12, 1, 0, 4, 0, 0, 0, 0, 0, 18, 1, 2, 0, 0, 9, 0, 0, 0, 0, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 1, 2, 4, 5, 0, 7, 0, 0, 0, 0, 0, 16 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS For n-th row of the triangle, the inverse Möbius transform extracts A116477(k) such that k divides n; 0 otherwise. Row sums = A006218: (1, 3, 5, 8, 10, 14, 16, ...). LINKS Table of n, a(n) for n=1..78. FORMULA Triangle read by rows, A051731 * (A116477 * 0^(n-k)); 1 <= k <= n. EXAMPLE First few rows of the triangle: 1; 1, 2; 1, 0, 4; 1, 2, 0, 5; 1, 0, 0, 0, 9; 1, 2, 4, 0, 0, 7; 1, 0, 0, 0, 0, 0, 15; 1, 2, 0, 5, 0, 0, 0, 12; ... Example: The divisors of 8 are (1, 2, 4, 8) so row 8 = (1, 2, 0, 5, 0, 0, 0, 12). CROSSREFS Cf. A006218, A051731, A116477. Sequence in context: A326759 A140882 A334044 * A143425 A323376 A166555 Adjacent sequences: A143721 A143722 A143723 * A143725 A143726 A143727 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Aug 29 2008 EXTENSIONS Diagonal sequence corrected to A116477 by Georg Fischer, Jun 27 2023 STATUS approved

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Last modified November 29 09:44 EST 2023. Contains 367429 sequences. (Running on oeis4.)